• CN:11-2187/TH
  • ISSN:0577-6686

›› 2005, Vol. 41 ›› Issue (6): 13-18.

• 论文 • 上一篇    下一篇

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机器人动力学分析的等效有限元建模方法

楚中毅;曲东升;孙立宁;崔晶   

  1. 哈尔滨工业大学机器人研究所
  • 发布日期:2005-06-15

FINITE ELEMENT APPROACH TO DYNAMICAL MODELING OF ROBOT MECHANISM

Chu Zhongyi;Qu Dongsheng;Sun Lining;Cui Jing   

  1. Robotics Institute, Harbin Institute of Technology
  • Published:2005-06-15

摘要: 介绍了一种机器人动力学建模的等效有限元法。引入等效单元的概念,通过广义惯量矩阵相等的等效单元准则提出了单元伪质量阵的概念,基于有限元思想规则组装得到等效系统的伪质量阵。基于动力学普遍方程和等效力系的概念推导出了系统的动力学微分方程,该方程表述简单、规范,适于计算机编程,使人工分析量大大减少,提高了建模效率。利用该方法推导了2-DOF平面并联机器人的动力学方程, 验证了方法的正确性和有效性,为其他复杂机器人机构的动力学分析提供了一种新的可供利用的手段。

关键词: 等效单元, 等效力系, 机器人动力学, 有限元

Abstract: A new approach is developed to model dynamic behaviors of robot system. The process is realized through equivalent elements and the equivalent system of forces. Firstly, the concept of element pseudo-mass matrix is proposed based on the equivalent principle of elements—— the generalized inertia matrix is equal to that of real components, then establishes pseudo-mass matrix of the equivalent system through assem-bling units normatively, based on finite element thought. Sec-ondly, produces dynamical modeling equations based on the generalized dynamical equation and concepts of the equivalent system and vector of force. The expression is concise, standard and convenient for using with computer normatively. At last, the approach is used to generate the dynamical equations of 2-DOF planar parallel robot mechanism, the results are the same as those of ADAMS simulation.

Key words: Equivalent vector of force, Finite elementEquivalent element, Robotic dynamics

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